Eur. Phys. J. A 13, 477-491 (2002)
DOI: 10.1140/epja/iepja1357
Weak decays of heavy mesons in a covariant quark model
D. Merten, R. Ricken, M. Koll, B. Metsch and H.R. PetryInstitut für Theoretische Kernphysik, Nußallee 14-16, D-53115 Bonn, Germany merten@itkp.uni-bonn.de
(Received: 19 December 2001 / Revised version: 17 January 2002 Communicated by V.V. Anisovich)
Abstract
In this paper we investigate weak decays of heavy mesons in the
framework of a covariant quark model, which is based on the Bethe-Salpeter
equation in instantaneous approximation. Apart from a
phenomenological confinement potential, a residual interaction induced
by instantons is adopted. Masses and many decay observables of
light mesons have already been described successfully in this model
(Eur. Phys. J. A 9, 73 (2000); 221). An appropriate extension allows a unified
description of light and heavy systems.
Using a set of parameters, which are fixed by the mass spectra, we
evaluate the form factors of semileptonic decays of charmed and bottom
mesons. In the heavy-quark limit these can be reduced to the
Isgur-Wise function, which is calculated. Finally, the form factors are
used to determine the non-leptonic decay rates of
B-mesons in the
factorization approximation.
12.39.Ki - Covariant quark model.
13.20.Fc - Heavy mesons.
13.20.He - Semileptonic decays.
© Società Italiana di Fisica, Springer-Verlag 2002
